CUET · MATHS · PYQ PAPER 2025
If the corner points of the bounded feasible region for a Linear Programming Problem (LPP) are \(A(0,2), B(3,0), C(2,3)\) and \(D(3,1)\), then the maximum value of the objective function \(Z=4 x+2 y\) occurs at
- A \((0,2)\) only
- B the mid-point of the line segment joining the points \((2,3)\) and \((3,1)\) only
- C \((2,3)\) and \((3,1)\) only
- D every point on the line segment joining the points \((2,3)\) and \((3,1)\)
Answer & Solution
Correct Answer
(D) every point on the line segment joining the points \((2,3)\) and \((3,1)\)
Step-by-step Solution
Detailed explanation
\(Z(0,2) = 4(0) + 2(2) = 4\) \(Z(3,0) = 4(3) + 2(0) = 12\) \(Z(2,3) = 4(2) + 2(3) = 14\) \(Z(3,1) = 4(3) + 2(1) = 14\) The maximum value occurs at every point on the line segment joining the points \((2,3)\) and \((3,1)\).
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